$2\mathrm{.}3$ Key Equations

Travel Time:

$T={\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{1}{v(s)}ds$

Fuel Consumption:

$F={\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}k*v(s{)}^{2}ds$

$2\mathrm{.}4$ MATLAB Task

Use MATLAB's particleswarm optimization function to determine the most efficient route considering the time of day and real$-$time traffic data.

$2\mathrm{.}5$ Questions for Exploration

Analyze how different times of day affect the optimal route due to varying traffic patterns. $2.$ Determine the impact of a sudden road closure on the planned path and how quickly an alternative route can be computed. $3.$ Explore how predictive traffic models could improve path optimization.

$3$ Energy Consumption Optimization in Smartphones

$3\mathrm{.}1$ Scenario Description

Develop strategies to maximize smartphone battery life by managing the energy consumption of applications and hardware components under varying usage patterns.

$3\mathrm{.}2$ Model Setup and System Parameters

Specifications:

Battery capacity: $3000$mAh.

Energy consumption rates for screen, CPU, and apps $($e$.$g$.,$ messaging, video streaming, gaming$).$

$3\mathrm{.}3$ Key Equations

Total Energy Consumption:

$E_{\text{t}\text{o}\text{t}\text{a}\text{l}}={\displaystyle \underset{i=1}{\overset{n}{}}}{E}_i*t_i$

where $E_i$ is the energy consumption rate of the $i^{th}$ application and $t_i$ is the usage time.

$3\mathrm{.}4$ MATLAB Task

Implement a linear programming model using MATLAB's linprog to minimize the total energy consumption subject to user requirements.

Note:please solve it as a case study and show the matlab as a screen shoot?

$4$